FREE BOOKS

Author's List




PREV.   NEXT  
|<   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90  
91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   >>   >|  
the work is carried on for an infinite time. In this way they said that there can be an accidentally infinite multitude. This, however, is impossible; since every kind of multitude must belong to a species of multitude. Now the species of multitude are to be reckoned by the species of numbers. But no species of number is infinite; for every number is multitude measured by one. Hence it is impossible for there to be an actually infinite multitude, either absolute or accidental. Likewise multitude in nature is created; and everything created is comprehended under some clear intention of the Creator; for no agent acts aimlessly. Hence everything created must be comprehended in a certain number. Therefore it is impossible for an actually infinite multitude to exist, even accidentally. But a potentially infinite multitude is possible; because the increase of multitude follows upon the division of magnitude; since the more a thing is divided, the greater number of things result. Hence, as the infinite is to be found potentially in the division of the continuous, because we thus approach matter, as was shown in the preceding article, by the same rule, the infinite can be also found potentially in the addition of multitude. Reply Obj. 1: Every potentiality is made actual according to its mode of being; for instance, a day is reduced to act successively, and not all at once. Likewise the infinite in multitude is reduced to act successively, and not all at once; because every multitude can be succeeded by another multitude to infinity. Reply Obj. 2: Species of figures are infinite by infinitude of number. Now there are various species of figures, such as trilateral, quadrilateral and so on; and as an infinitely numerable multitude is not all at once reduced to act, so neither is the multitude of figures. Reply Obj. 3: Although the supposition of some things does not preclude the supposition of others, still the supposition of an infinite number is opposed to any single species of multitude. Hence it is not possible for an actually infinite multitude to exist. _______________________ QUESTION 8 THE EXISTENCE OF GOD IN THINGS (In Four Articles) Since it evidently belongs to the infinite to be present everywhere, and in all things, we now consider whether this belongs to God; and concerning this there arise four points of inquiry: (1) Whether God is in all things? (2) Whether God is everywhere? (3) Whether
PREV.   NEXT  
|<   66   67   68   69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90  
91   92   93   94   95   96   97   98   99   100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   >>   >|  



Top keywords:
multitude
 

infinite

 

number

 
species
 

things

 
supposition
 

potentially

 

figures

 

created

 

reduced


impossible

 
Whether
 

division

 

comprehended

 

successively

 

belongs

 

accidentally

 

Likewise

 

numerable

 
infinitely

succeeded

 

quadrilateral

 
Species
 

carried

 

infinity

 

infinitude

 

trilateral

 
present
 

evidently

 
Articles

points

 

inquiry

 

THINGS

 

opposed

 
preclude
 

single

 

QUESTION

 
EXISTENCE
 

Although

 

intention


Creator

 
nature
 

increase

 

Therefore

 

aimlessly

 

accidental

 

reckoned

 

belong

 

numbers

 

absolute